Question

Two angles are supplementary. The sum of the measures of the larger angle and twice the smaller angle is 248°. Find the measure of the larger angle.

Answer 1

112°

Explanation:

You want the larger of two supplementary angles if the sum of the larger and twice the smaller is 248°.

Larger

Let x represent the larger angle. Then the smaller is 180°-x. The given sum is ...

x +2(180° -x) = 248°

360° -248° = x = 112° . . . . . . add x-248°

The larger angle is 112°.

<95141404393>